Finding the Fourth Proportional to 105.22, 157.83 and 33.06

Step by Step Solution

1. Step 1: Write the proportion equation
   105.22 : 157.83 = 33.06 : x
2. Step 2: Convert to fraction form
   105.22/157.83 = 33.06/x
3. Step 3: Cross multiply
   105.22x = 157.83 × 33.06
4. Step 4: Simplify right side
   105.22x = 5,217.86
5. Step 5: Solve for x
   x = 5,217.86/105.22
6. Step 6: Final answer
   x = 49.59